Answer:
1 1/2
Step-by-step explanation:
-2 1/4 ÷ - 1 1/2
Change each mixed number to an improper fraction
2 1/4 = (4*2+1) /4 = 9/4
1 1/2 = (2*1+1)/2 = 3/2
-9/4÷-3/2
Copy dot flip
-9/4 * -2/3
-9/3 ( -2/4)
-3 * -1/2
3/2
Changing this back to a mixed number
2 goes into 3 one time with one left over
1 1/2
Answer:
Step-by-step explanation:
To find slope you have to take y2-y1 over x2-x1
y2=your second y poiny
y1=first y point
x2=second x point
x1=first x point
Since it is minus a negative you get to change it to a plus sign, because they cancel each other out.
3 + 7
____
-4-0
10/-4
This isn't quite simplified, so you find a common factor for the numerator (top number) and the denominator (bottom number). You should note the number has to go into both numbers, not just one. The largest common factor would be 2 in this case.
10/2=5
-4/2=-2
Now your simplified answer would be 5/2
Answer:
35
Step-by-step explanation:
3+4=7
7*5=35
Answer: C. (x-3)(x+3)
Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula a^2-b^2=(a+b)(a-b) where a=x and b=3.
Hope this helps you out! ☺
This problem is basically asking you to find a perpendicular vector to Gandalf's initial path. The direction if this vector will be set no matter when he turns so we can start by calculating that.
Vectors are perpendicular if their dot product is 0, so we need <x,y> such that 5x + 2j = 0. The obvious choice will be <-2,5>, as that clearly satisfies our conditions (this is of course identical to <2, -5>).
So now we have reduced this problem to finding where the line that goes through (1,6) with a slope of -2.5 intersects our original line, which we can easily see is y = 0.4x + 3.
The equation for the new line can be seen to be y = -2.5x + 8.5.
Setting these equal,
0.4x + 3 = -2.5x + 8.5
2.9x = 5.5
x = 5.5/2.9 = 1.896, plugging back in yields y = 3.7586
This approach sort of reduces the problem to just a planar geometry exercise, which may or may not be desirable, but it surely yields the correct result.